Inelastic Analysis of Frames Under Combined Bending, Shear and Torsion

The chapter discusses the fiber approach for the inelastic analysis of structures subjected to high shear. The element formulation follows the kinematics of the natural mode method, while the flexibility or force-based approach is adopted to integrate the section forces and deformations. Initially we present the fiber approach within its standard, purely bending, formulation and we then expand it to the case of high shear deformations. The element formulation follows the assumptions of the Timoshenko beam theory. Numerical examples are presented confirming the accuracy and the computational efficiency of the proposed element formulation under monotonic, cyclic and dynamic/seismic loading. Compared to experimental results and the results of detailed finite element models, excellent agreement and efficiency is achieved.

[1]  Y. Yamada,et al.  Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method , 1968 .

[2]  Filip C. Filippou,et al.  A 3D numerical model for reinforced and prestressed concrete elements subjected to combined axial, bending, shear and torsion loading , 2007 .

[3]  Enrico Spacone,et al.  FIBRE BEAM–COLUMN MODEL FOR NON‐LINEAR ANALYSIS OF R/C FRAMES: PART I. FORMULATION , 1996 .

[4]  Alessandra Marini,et al.  Analysis of Reinforced Concrete Elements Including Shear Effects , 2006 .

[5]  Chia-Ming Uang,et al.  Effect of Flange Width-Thickness Ratio on Eccentrically Braced Frames Link Cyclic Rotation Capacity , 2005 .

[6]  J. M. Bairan Garcia,et al.  Shear-Bending-Torsion Interaction in Structural Concrete Members: A Nonlinear Coupled Sectional Approach , 2007 .

[7]  Αριστείδης Παπαχρηστίδης.  Numerical simulation of structures under static and dynamic loading with high performance finite elements , 2010 .

[8]  Sven Klinkel,et al.  Using finite strain 3D‐material models in beam and shell elements , 2002 .

[9]  John Argyris,et al.  BEC: A 2-node fast converging shear-deformable isotropic and composite beam element based on 6 rigid-body and 6 straining modes , 1998 .

[10]  Iason Papaioannou,et al.  Inelastic analysis of framed structures using the fiber approach , 2005 .

[11]  F. Vecchio,et al.  THE MODIFIED COMPRESSION FIELD THEORY FOR REINFORCED CONCRETE ELEMENTS SUBJECTED TO SHEAR , 1986 .

[12]  V. Ciampi,et al.  EQUILIBRIUM BASED ITERATIVE SOLUTIONS FOR THE NON-LINEAR BEAM PROBLEM , 1997 .

[13]  Alex H. Barbat,et al.  Static analysis of beam structures under nonlinear geometric and constitutive behavior , 2007 .

[14]  Filip C. Filippou,et al.  Evaluation of Nonlinear Frame Finite-Element Models , 1997 .

[15]  F. Filippou,et al.  Mixed formulation of nonlinear beam finite element , 1996 .

[16]  Michel Bruneau,et al.  Experimental and analytical investigation of tubular links for eccentrically braced frames , 2007 .

[17]  Luis Ibarra,et al.  Hysteretic models that incorporate strength and stiffness deterioration , 2005 .

[18]  R. Park,et al.  Stress-Strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates , 1982 .

[19]  Marco Petrangeli,et al.  Fiber Element for Cyclic Bending and Shear of RC Structures. I: Theory , 1999 .

[20]  Stephen A. Mahin,et al.  Analysis of Reinforced Concrete Beam-Columns under Uniaxial Excitation , 1988 .

[21]  Michael P. Collins,et al.  Predicting the Response of Reinforced Concrete Beams Subjected to Shear Using the Modified Compression Field Theory , 1988 .

[22]  Paola Ceresa,et al.  Flexure-Shear Fiber Beam-Column Elements for Modeling Frame Structures Under Seismic Loading — State of the Art , 2007 .

[23]  R. Borst.  The zero-normal-stress condition in plane-stress and shell elastoplasticity , 1991 .

[24]  Robert L. Taylor,et al.  A mixed finite element method for beam and frame problems , 2003 .

[25]  Eduardo N. Dvorkin,et al.  A formulation of the MITC4 shell element for finite strain elasto-plastic analysis , 1995 .

[26]  Enrico Spacone,et al.  Localization Issues in Force-Based Frame Elements , 2001 .